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DCG
2008
13 years 7 months ago
2008
Abstract We express the generating function for lattice points in a rational polyhedral cone with a simplicial subdivision in terms of multivariate analogues of the h-polynomials o...
DCG
2008
13 years 7 months ago
2008
For convex bodies K with C2 boundary in Rd, we explore random polytopes with vertices chosen along the boundary of K. In particular, we determine asymptotic properties of the volum...
DCG
2008
13 years 7 months ago
2008
In this paper we prove that if two self-similar tiling systems, with respective stretching factors 1 and 2, have a common factor which is a non periodic tiling system, then 1 and 2...
DCG
2006
13 years 7 months ago
2006
The maximal area of a polygon with n = 2m edges and unit diameter is not known when m 5, nor is the maximal perimeter of a convex polygon with n = 2m edges and unit diameter known...
DCG
2007
13 years 7 months ago
2007
Abstract. We describe many different realizations with integer coordinates for the associahedron (i.e. the Stasheff polytope) and for the cyclohedron (i.e. the Bott-Taubes polyto...